Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1895917 | Journal of Geometry and Physics | 2013 | 19 Pages |
Abstract
We consider a simple instance of action up to homotopy. More precisely, we consider strict actions of DGLAs in degrees −1 and 0 on degree 1 NQNQ-manifolds. In a more conventional language this means: strict actions of Lie algebra crossed modules on Lie algebroids.When the action is strict, we show that it integrates to group actions in the categories of Lie algebroids and Lie groupoids (i.e. actions of LALA-groups and 2-groups). We perform the integration in the framework of Mackenzie’s doubles.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Marco Zambon, Chenchang Zhu,